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Finding the Fourth Proportional to 157.15, 217.08 and 131.01

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Solution

The fourth proportional to 157.15, 217.08 and 131.01 is: 180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 217.08 = 131.01 : x
  2. Step 2: Convert to fraction form
    157.15/217.08 = 131.01/x
  3. Step 3: Cross multiply
    157.15x = 217.08 × 131.01
  4. Step 4: Simplify right side
    157.15x = 28,439.92
  5. Step 5: Solve for x
    x = 28,439.92/157.15
  6. Step 6: Final answer
    x = 180.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.